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113,864

113,864 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

113,864 (one hundred thirteen thousand eight hundred sixty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 43 × 331. Written other ways, in hexadecimal, 0x1BCC8.

Arithmetic Number Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
468,311
Recamán's sequence
a(60,603) = 113,864
Square (n²)
12,965,010,496
Cube (n³)
1,476,247,955,116,544
Divisor count
16
σ(n) — sum of divisors
219,120
φ(n) — Euler's totient
55,440
Sum of prime factors
380

Primality

Prime factorization: 2 3 × 43 × 331

Nearest primes: 113,843 (−21) · 113,891 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 43 · 86 · 172 · 331 · 344 · 662 · 1324 · 2648 · 14233 · 28466 · 56932 (half) · 113864
Aliquot sum (sum of proper divisors): 105,256
Factor pairs (a × b = 113,864)
1 × 113864
2 × 56932
4 × 28466
8 × 14233
43 × 2648
86 × 1324
172 × 662
331 × 344
First multiples
113,864 · 227,728 (double) · 341,592 · 455,456 · 569,320 · 683,184 · 797,048 · 910,912 · 1,024,776 · 1,138,640

Sums & aliquot sequence

As consecutive integers: 7,109 + 7,110 + … + 7,124 2,627 + 2,628 + … + 2,669 179 + 180 + … + 509
Aliquot sequence: 113,864 105,256 96,344 84,316 65,372 51,388 41,852 31,396 25,052 18,796 15,252 22,380 40,452 53,964 82,536 135,864 274,536 — unresolved within range

Continued fraction of √n

√113,864 = [337; (2, 3, 2, 39, 3, 1, 4, 1, 11, 2, 3, 1, 95, 1, 1, 1, 2, 1, 2, 1, 1, 1, 5, 26, …)]

Representations

In words
one hundred thirteen thousand eight hundred sixty-four
Ordinal
113864th
Binary
11011110011001000
Octal
336310
Hexadecimal
0x1BCC8
Base64
AbzI
One's complement
4,294,853,431 (32-bit)
Scientific notation
1.13864 × 10⁵
As a duration
113,864 s = 1 day, 7 hours, 37 minutes, 44 seconds
In other bases
ternary (3) 12210012012
quaternary (4) 123303020
quinary (5) 12120424
senary (6) 2235052
septenary (7) 652652
nonary (9) 183165
undecimal (11) 78603
duodecimal (12) 55a88
tridecimal (13) 3ca9a
tetradecimal (14) 2d6d2
pentadecimal (15) 23b0e
Palindromic in base 14

As an angle

113,864° = 316 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγωξδʹ
Mayan (base 20)
𝋮·𝋤·𝋭·𝋤
Chinese
一十一萬三千八百六十四
Chinese (financial)
壹拾壹萬參仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ١١٣٨٦٤ Devanagari ११३८६४ Bengali ১১৩৮৬৪ Tamil ௧௧௩௮௬௪ Thai ๑๑๓๘๖๔ Tibetan ༡༡༣༨༦༤ Khmer ១១៣៨៦៤ Lao ໑໑໓໘໖໔ Burmese ၁၁၃၈၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113864, here are decompositions:

  • 67 + 113797 = 113864
  • 103 + 113761 = 113864
  • 181 + 113683 = 113864
  • 241 + 113623 = 113864
  • 307 + 113557 = 113864
  • 367 + 113497 = 113864
  • 397 + 113467 = 113864
  • 523 + 113341 = 113864

Showing the first eight; more decompositions exist.

Hex color
#01BCC8
RGB(1, 188, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.200.

Address
0.1.188.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.200

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 113,864 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 113864 first appears in π at position 8,142 of the decimal expansion (the 8,142ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.